The diagonal of a square is 8 cm. What is the length of the side of this square? Give your answer as an exact surd in its simplest form.

Answer:

First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Step-by-step explanation:

"2 pounds of meat with some chopped vegetables"

2 + v

"She divides the mixture into 4 equal portions."

(1/4)(2 + v)

"Each portion weighs 3 pounds."

(1/4)(2 + v) = 3

2 + v = 12

v = 10

Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Answer:

(2+v)=3   v=10

Step-by-step explanation:

otal perimeter = 76cm = AB + BC + CD + AD

AD & BC = 13cm

AB = 1.5*(CD)

Solution:

Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation

76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC

76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms

76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides

50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB

50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation

50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5

20cm+=+CD

To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)

AB+=+1.5%2A20cm

AB+=+30cm

Answer:  1) D      2) B

Step-by-step explanation:

1) The denominator cannot equal zero, Factor the denominator to find the zeros.  n³ - 4n² + 3n = 0

           n(n - 3)(n - 1) = 0

       n=0  n-3=0   n-1=0

       n=0    n=3      n=1

2) In order to be a rational expression, it must be in the form [tex]\dfrac{a}{b}[/tex] where both a and b are integers.

Since [tex]\sqrtb[/tex][tex]\sqrt b[/tex] is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.

Therefore, options (i) and (iv) are not rational expressions.

Option (iii) contains b as an exponent.  Since there is no information about b, it could be a fraction, which means it could be an irrational number.

Answer:

In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Step-by-step explanation:

Answer: 0.457

Step-by-step explanation:

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[tex]\frac{3}{7}+\frac{5}{21}[/tex]

[tex]= \frac{3}{7}+\frac{5}{21}[/tex]

[tex]= \frac{9}{21}+\frac{5}{21}[/tex]

[tex]= \frac{9 + 5}{21}[/tex]

[tex]= \frac{14}{21}[/tex]

[tex]= \frac{2}{3}[/tex] (Decimal: 0.666667)

Answer : [tex]\boxed{\frac{2}{3} }[/tex] (Decimal: 0.666667)

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        Have a great day/night!

                   ❀*May*❀

Answer:

3, because [tex]y=-\frac{1}{2}x+9[/tex].

Step-by-step explanation:

Looking at this graph, we can start to determine the equation for it.

The y-intercept of this graph is 9, therefore there will be a constant of 9.

We can find the slope by looking at rise over run. It vertically travels -1 for every 2 horizontally. So the slope is [tex]-\frac{1}{2}[/tex].

Making this into an equation gets us  [tex]y=-\frac{1}{2}x+9[/tex].

Now we can substitute 12 into this equation as x.

[tex]y=-\frac{1}{2}(12)+9\\ y=-6+9\\y=3[/tex]

Hope this helped!

Answer:

the other person is correct! C:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]

Use the Power of a Product Property, where:

[tex](ab)^n=a^nb^n[/tex]

Therefore:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]

The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5

The equation is given as:

[tex]\mathbf{y = 0.5x + 5}[/tex]

A linear equation is represented as:

[tex]\mathbf{y = mx + c}[/tex]

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]

Read more about linear equations at:

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3rd one i just did it on edge :P

Answer:

0.5625 ft^2

Step-by-step explanation:

area of square = side * side

A = s^2

A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2

Answer:     [tex]y=-\dfrac{4}{3}x+16[/tex]

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]

Square - a rectangle (4 sided shape) whose sides are equal length

Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines

Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles

Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.  

Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines

Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.

Happy to help!

Answer:

1). Triangle - Has 3 equal sides and angles of 60°.

2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).

3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.

4). Pentagon - It has 5 equal sides with equal angles of 108°.

5). Hexagon - It has 6 equal sides with equal angles of 120°.

PROPERTIES OF A CIRCLE:

It has no sides with no angles. The radius in any direction from the point are of the same length.

Answer:

See attached

Step-by-step explanation:

13450 = 13000 + 400 + 50

Answer:  f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]

i.e. [tex]y=\dfrac{3}{1}=3[/tex]

Hence, f(x) will have horizontal asymptote at y=3.

Answer:

(x + 1)^2 + (y - 1)^2 = (8.5)^2

Step-by-step explanation:

Consider the general equation of a circle:

(x - h)^2 + (y - k)^2 = (r)^2

Where (h,k) represent the center point of the circle, and r represents the radius of the circle.  

For this circle, our center point appears to be at (-1,1) and the circle has a radius of 8.5.

Using this information, we simply plug these values into the general equation to get the following:

(x + 1)^2 + (y - 1)^2 = (8.5)^2

Cheers.

Answer:

B

Step-by-step explanation:

The greatest prime factor between 1 and 30 is 29. Remember that a prime number is a number whose only 2 factors is 1 and the number itself. To find out which number is a multiple of 29, all we have to do is divide it by 29, and if the quotient is a whole number then we have found our answer.

A: 1593 / 29 ≈ 54.93

B: 1247 / 29 = 43

We don't need to check C and D because we know that B is the answer.

1247 has the greatest prime factor between 1 and 30

The factor of a number that divides another number perfectly without leaving any remainder.  

For example, the factors of 12 are 1,2,3,4,6 and 12

A prime factor is a number that a prime number

A prime number is a number that can be divided only by 1 and that number

Prime numbers between 1 and 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

The greatest prime factor between 1 and 30 is 29

To determine which number has the greatest prime factor, divide each of the numbers in the options by 29.

1593 / 29 = 54.9 (29 is not a prime factor of 1593)

1247/29 = 43 (29 is a prime factor of 1247)

1311 / 29 = 45.2  (29 is not a prime factor of 1311)

943 / 29 = 32.5  (29 is not a prime factor of 943)

To learn more about prime factors, please check: https://brainly.com/question/10371102?referrer=searchResults

Answer:

[tex]\boxed{\pink{0.27945}}[/tex]

Step-by-step explanation:

[tex]3.45 \times 0.27 \\ = 0.9315 \times 0.3 \\ = 0.27945[/tex]

Answer: thousandths place

Step-by-step explanation:

                                      ↓

3.45 x 0.27 x 0.3 = 0.27945

The place values to the right of the decimal point are:

one to the right (2): tenths

two to the right (7): hundredths

three to the right (9): thousandths

four to the right (4): ten thousandths

five to the right (5): hundred thousandths

Answer:

-4.

Step-by-step explanation:

y = 3x - 7; x = 1.

y = 3(1) - 7

= 3 - 7

= -4

Hope this helps!

Answer:

y = - 4

Step-by-step explanation:

y=3x-7

Let x =1

y = 3*1 -7

y = 3-7

y = - 4

Answer:

14.1

Step-by-step explanation:

Use tan to help:

Answer:

Is there supposed to be some "dots" or something

Answer:

D

Step-by-step explanation:

When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.  

When you replace x with (x-7) the equation will be converted into

y = ((x-7)+4)

y = x-3

When you graph this you see it has a x-intercept of 3 and a y-intercept of -3

To find the distance add the 2 x values together:

-4 + (-3) = ?

-4 -3 = ?

-7 = ?

Therefore the graph will shift units right

Answer:

91

Step-by-step explanation:

Look at multiples of 7 and you’ll find 91.

91 dived by 3 is 30 with a remainder of 1.

91 divided by 5 is 18 with a remainder of 1.

91 divid by 7 is 13 with no remainder.

91 is the number between 1 and 100 satisfies the above conditions

A number system is defined as a system of writing to express numbers.

Given that a number is divided by 3 or 5, the remainder is 1.

If it is divided by 7, there is no remainder

We need to find the number between 1 and 100 which satisfies the given conditions.

Let us consider 91.

When 91 is divided by 3 we get 30 and 1 as remainder.

91 divided by 5 is 18 with a remainder of 1.

91 divided by 7 is 13 it does not have any remainder or remainder is zero.

Hence, 91 is the number between 1 and 100 satisfies the above conditions

To learn more on Number system click:

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Answer:

work shown and pictured

Answer:

[tex]81+144i[/tex]

Step-by-step explanation:

We want to simplify:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i[/tex]

Recall that:

[tex]\displaystyle \sqrt{-a} = i\sqrt{a}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}[/tex]

Note that i² = -1.

In conclusion:

[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i[/tex]

Answer:

Step-by-step explanation:

70% of students are female

70/100* 75%= you get your answer

then subtract the percentage of the males and the females and then you get your answer

Answer:

-5/24

Step-by-step explanation:

make the denominators the same!

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{0}[/tex] = 1

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]27^{-\frac{2}{3} }[/tex] × [tex]25^{\frac{1}{2} }[/tex] × [tex]5^{0}[/tex]

= [tex]\frac{1}{27^{\frac{2}{3} } }[/tex] × [tex]\sqrt{25}[/tex] × 1

= [tex]\frac{1}{9}[/tex] × 5 × 1

=[tex]\frac{5}{9}[/tex]

Answer:

adults tickets=1384

kids:616 tickets

1384-616= 768 tickets

Step-by-step explanation:

let x be adult tickets and y kids

x+y=2000 ⇒x=2000-y

20x+12y=35072   solve by substitute for x=2000-y

20(2000-y)+12y=35072

40000-20y+12y=35072

-8y=35072-40000

-8y=-4928

y=-4928/-8

y=616

x=2000-616

x=1384 tickets

check:

20(1384)+12(616)=35072 ( correct)

Answer:

1.) Neither

2.) Area

3.) Perimeter

4.) Neither

Step-by-step explanation:

Given that the lengths of the rectangle are r and s

The perimeter of the rectangle will be:

Perimeter = 2r + 2s

Perimeter = 2(r+s)

While the area will be:

Area = r × s

Area = rs

For each expression, say whether it gives the perimeter of the rectangle, the area of the

rectangle, or neither.

1. rts = neither

2. r.s = Area of rectangle

3. 2r + 2s = Perimeter of rectangle

4.72 +82 = neither.

Answer:

FALSE

Step-by-step explanation:

The properties of exponents tells us that

[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]

Answer:

False

Step-by-step explanation:

[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]

Hope this helps ;) ❤❤❤